M2-brane Probe Dynamics and Toric Duality
High Energy Physics - Theory
2008-11-26 v2
Abstract
We study the dynamics of a single M2-brane probing toric Calabi-Yau four-fold singularity in the context of the recently proposed M-theory crystal model of AdS4/CFT3 dual pairs. We obtain an effective abelian gauge theory in which the charges of the matter fields are given by the intersection numbers between loops and faces in the crystal. We argue that the probe theory captures certain aspects of the CFT3 even though the true M2-brane CFT is unlikely to be a usual gauge theory. In particular, the moduli space of vacua of the gauge theory coincides precisely with the Calabi-Yau singularity. Toric duality, partial resolution, and a possibility of new RG flows are also discussed.
Cite
@article{arxiv.0705.3540,
title = {M2-brane Probe Dynamics and Toric Duality},
author = {Seok Kim and Sangmin Lee and Sungjay Lee and Jaemo Park},
journal= {arXiv preprint arXiv:0705.3540},
year = {2008}
}